Details

Time bar (total: 7.8s)

sample235.0ms

Algorithm
intervals
Results
155.0ms103×body2560valid
50.0ms89×body1280valid
10.0ms37×body640valid
4.0ms256×pre80true
2.0ms13×body320valid
2.0ms12×body160valid
0.0msbody80valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
084
1114
2114

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.6b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1.0 (tan x))
3.4b
(- (/ 1.0 x) (/ 1.0 (tan x)))

rewrite73.0ms

Algorithm
rewrite-expression-head
Rules
271×times-frac
220×add-sqr-sqrt
216×*-un-lft-identity
208×add-cube-cbrt
182×prod-diff
31×div-inv
14×tan-quot associate-/r/
13×fma-neg
distribute-lft-out--
add-exp-log add-cbrt-cube add-log-exp difference-of-squares
associate-/r* associate-/l*
pow1 expm1-log1p-u log1p-expm1-u
cbrt-undiv sub-neg flip3-- frac-2neg diff-log div-exp clear-num frac-sub flip--
Counts
2 → 249
Calls
2 calls:
7.0ms
(/ 1.0 (tan x))
46.0ms
(- (/ 1.0 x) (/ 1.0 (tan x)))

series144.0ms

Counts
2 → 6
Calls
2 calls:
40.0ms
(/ 1.0 (tan x))
105.0ms
(- (/ 1.0 x) (/ 1.0 (tan x)))

simplify89.0ms

Algorithm
egg-herbie
Counts
255 → 255
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
08115920
121934160
250013667

prune265.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize10.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify3.0ms

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
000

prune3.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0.4b

simplify4.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0125
1125

end0.0ms

sample6.9s

Algorithm
intervals
Results
4.5s3227×body2560valid
1.4s2534×body1280valid
349.0ms1241×body640valid
328.0ms629×body320valid
107.0ms8000×pre80true
42.0ms328×body160valid
3.0ms41×body80valid